Surface Area of Composite Figures

The video tutorial explains how to calculate the surface area of a composite figure consisting of a cube and a pyramid. It covers the formulas for the surface area of a cube and a pyramid, and discusses the surfaces that can be touched in a composite figure. An example calculation is provided, demonstrating how to apply these concepts to find the total surface area of the composite figure, resulting in 165 square inches.

What shapes make up the composite figure discussed in the video?

• A cube and a square prism

• A sphere and a cylinder

• A cone and a cube

• A pyramid and a sphere

What is the formula for the surface area of a cube?

• 6s²

• 2πrh + 2πr²

• s² + 4sh

• 4πr²

How is the surface area of a pyramid calculated?

• Base area plus half the perimeter times the slant height

• 6s²

• Base area times height

• 4πr²

Which side of the cube cannot be touched when a pyramid is stacked on top?

• Bottom

• Front

• Top

• Left

How many sides of the cube are considered in the surface area calculation for the composite figure?

• 6

• 3

• 4

• 5

Which part of the pyramid is considered in the surface area calculation for the composite figure?

• Base

• Lateral surface area

• Top

• Bottom

What is the perimeter of the pyramid used in the calculation?

• 15

• 10

• 20

• 25

What is the slant height of the pyramid in the problem?

• 5

• 4

• 3

• 6

What is the side length of the cube in the problem?

• 4

• 5

• 6

• 3

What is the total surface area of the composite figure?

• 150 square inches

• 160 square inches

• 165 square inches

• 170 square inches